by
Hall, Prentice

Answer

x(8x+5)(7x+1)

Work Step by Step

Given the polynomial
x($56x^{2}$ + 43x + 5)
*** We break of the middle term into two factors that add to give +43 and multiply to give +280. The two numbers are +35 and +8.
x($56x^{2}$ + 8x + 35x + 5)
We take the GCD of the first two and the GCD of the last two terms.
x(8x(7x+1)+5(7x+1))
We take (7x+1) and factor it out which gives us.
x(8x+5)(7x+1)